The term "cross multiplication" refers to a mathematical process used to compare and solve equations involving fractions. The spelling of this word is represented in IPA phonetic transcription as /krɒs ˌmʌltɪplɪˈkeɪʃən/. The "cross" sound is indicated by the "krɒs" while the "multiply" and "cation" sounds are indicated by "ˌmʌltɪplɪˈkeɪʃən". This process involves multiplying the numerator of one fraction by the denominator of the other, and vice versa, in order to obtain equivalent fractions that can then be further simplified or compared.
Cross multiplication is a mathematical method or technique used to compare and determine the relationship between two ratios. It is primarily used when comparing fractions or proportions. The process involves multiplying the numerator of one ratio with the denominator of the other, and then comparing the products obtained.
In a mathematical equation, cross multiplication is used to solve for an unknown value in a proportion. When given two sets of ratios or fractions that are equal to each other, cross multiplication allows us to find the missing value or determine if the two ratios are proportional.
For instance, if we have the equation 1/2 = x/4, we can use cross multiplication to find the value of x. By multiplying the numerator of the first ratio (1) with the denominator of the second ratio (4) and the numerator of the second ratio (x) with the denominator of the first ratio (2), we get the equation 1 * 4 = 2 * x. Simplifying this, we find that 4 = 2x, and dividing both sides by 2, we find that x = 2.
Cross multiplication provides a quick and efficient way to compare and solve proportions, making it a valuable tool in various mathematical applications such as algebra, geometry, and physics.
The term "cross multiplication" is derived from the mathematical operation it represents. Etymologically, "cross" refers to the crossing over or interchanging of terms, while "multiplication" denotes the mathematical operation of multiplying numbers. In essence, cross multiplication involves multiplying the numerator of one fraction by the denominator of another fraction, and vice versa, when comparing or solving equations involving fractions. It is a method commonly used in solving proportions and equations involving fractions.